"WM" <mueckenh@rz.fh-augsburg.de> wrote in message news:3e530939-7018-4b61-87a8-96b4763304e2@o1g2000vbg.googlegroups.com...> On 20 Jun., 15:41, "Julio Di Egidio">>> So, there is no such thing as an "additional step" to take, we>> just consider the limit of the sequence...>> No. You seem to have not yet understood. But I enjoy to explain it> again, and again, and again, ... because the story is incredible.>> Every set of the sequence>> 1,> 1, 2> 1, 2, 3> ...>> is the union of all its predecessors and its last {n}.>> There are infinitely many sets, so there are infinitely many unions.<snip>

Potentially so, you fraud! The whole set N, an infinite set, is just the *limit* of that sequence of finite sets.

N = lim_{n->oo} FISON(n) = lim_{n->oo} ( FISON(n-1) U {n} )

(That's maybe not 100% rigorous as N itself is not necessarily ordered: but it's good enough, and anyway I do not expect you to engage with the math, ever.)

> I love this story really so much!

It's rather amazing that all you can do is repeat your nonsense ad nauseam.